Lectures on Differential Geometry
Iskander A. Taimanov
Sobolev Institute of Mathematics, Novosibirsk, Russia
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| FrontmatterDownload pp. i–iv | |
| PrefaceDownload pp. v–vi | |
| ContentsDownload pp. vii–viii | |
| I | Part I Curves and surfacesp. 1 |
| 1 | Theory of curvespp. 3–14 |
| 2 | Theory of surfacespp. 15–46 |
| II | Part II Riemannian geometryp. 47 |
| 3 | Smooth manifoldspp. 49–68 |
| 4 | Riemannian manifoldspp. 69–88 |
| 5 | The Lobachevskii plane and the Minkowski spacepp. 89–99 |
| III | Part III Supplement chaptersp. 101 |
| 6 | Minimal surfaces and complex analysispp. 103–116 |
| 7 | Elements of Lie group theorypp. 117–134 |
| 8 | Elements of representation theorypp. 135–153 |
| 9 | Elements of Poisson and symplectic geometrypp. 154–203 |
| Bibliographyp. 205 | |
| Indexpp. 207–211 |